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Finding the Fourth Proportional to 16,857.06, 23,262.74 and 9,405.06

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Solution

The fourth proportional to 16,857.06, 23,262.74 and 9,405.06 is: 12,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.06 : 23,262.74 = 9,405.06 : x
  2. Step 2: Convert to fraction form
    16,857.06/23,262.74 = 9,405.06/x
  3. Step 3: Cross multiply
    16,857.06x = 23,262.74 × 9,405.06
  4. Step 4: Simplify right side
    16,857.06x = 218,787,465.46
  5. Step 5: Solve for x
    x = 218,787,465.46/16,857.06
  6. Step 6: Final answer
    x = 12,978.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.